14135346780672 has 160 divisors (see below), whose sum is σ = 40576671051840. Its totient is φ = 4346924728320.

The previous prime is 14135346780647. The next prime is 14135346780689. The reversal of 14135346780672 is 27608764353141.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35966604 + ... + 36357492.

It is an arithmetic number, because the mean of its divisors is an integer number (253604194074).

Almost surely, 2^{14135346780672} is an apocalyptic number.

14135346780672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135346780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288335525920).

14135346780672 is an abundant number, since it is smaller than the sum of its proper divisors (26441324271168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14135346780672 is a wasteful number, since it uses less digits than its factorization.

14135346780672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392734 (or 392718 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 14135346780672 in words is "fourteen trillion, one hundred thirty-five billion, three hundred forty-six million, seven hundred eighty thousand, six hundred seventy-two".